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Finding the Third Proportional to 533,542 and 813,864

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Solution

The third proportional to 533,542 and 813,864 is: 1,241,466.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,542 : 813,864 = 813,864 : x
  2. Step 2: Convert to fraction form
    533,542/813,864 = 813,864/x
  3. Step 3: Cross multiply
    533,542x = 813,864 × 813,864
  4. Step 4: Simplify right side
    533,542x = 662,374,610,496
  5. Step 5: Solve for x
    x = 662,374,610,496/533,542
  6. Step 6: Final answer
    x = 1,241,466.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.